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Characterizations of Commutative POV Measures

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Abstract

Two different characterizations of POV measures with commutative range are compared using a representation of some stochastic operators by (weak) Markov kernels. A representation by Choquet theorem is obtained as an integral over functions of a sharp observable appearing in one of the characterizations. A Naimark extension is constructed.

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Authors and Affiliations

  1. Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, 814 73, Bratislava, Slovakia

    Anna Jenčová & Sylvia Pulmannová

Authors
  1. Anna Jenčová
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  2. Sylvia Pulmannová
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Corresponding author

Correspondence to Sylvia Pulmannová.

Additional information

This work was supported by Center of excellence SAS, CEPI I/2/2005 and grant APVV-0071-06 and grant VEGA 2/0032/09 SAS.

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Jenčová, A., Pulmannová, S. Characterizations of Commutative POV Measures. Found Phys 39, 613–624 (2009). https://doi.org/10.1007/s10701-009-9273-1

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  • DOI: https://doi.org/10.1007/s10701-009-9273-1

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